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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
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by T. S. Trudgian PDF
Math. Comp. 84 (2015), 1439-1450 Request permission

Abstract:

This paper contains new explicit upper bounds for the number of zeroes of Dirichlet $L$-functions and Dedekind zeta-functions in rectangles.
References
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Additional Information
  • T. S. Trudgian
  • Affiliation: Mathematical Sciences Institute, The Australian National University, Canberra, Australia, 0200
  • MR Author ID: 909247
  • Email: timothy.trudgian@anu.edu.au
  • Received by editor(s): June 8, 2012
  • Received by editor(s) in revised form: November 7, 2012, April 16, 2013, and August 12, 2013
  • Published electronically: September 15, 2014
  • Additional Notes: Supported by Australian Research Council DECRA Grant DE120100173.
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 84 (2015), 1439-1450
  • MSC (2010): Primary 11M06; Secondary 11M26, 11R42
  • DOI: https://doi.org/10.1090/S0025-5718-2014-02898-6
  • MathSciNet review: 3315515